1393840000 has 320 divisors, whose sum is σ = 4206153600. Its totient is φ = 449280000.

The previous prime is 1393839983. The next prime is 1393840003. The reversal of 1393840000 is 483931.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393840003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10639935 + ... + 10640065.

It is an arithmetic number, because the mean of its divisors is an integer number (13144230).

Almost surely, 2^1393840000 is an apocalyptic number.

1393840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103076800).

1393840000 is an abundant number, since it is smaller than the sum of its proper divisors (2812313600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1393840000 is an equidigital number, since it uses as much as digits as its factorization.

1393840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1393840000 is about 37334.1666573663. The cubic root of 1393840000 is about 1117.0457859758.

The spelling of 1393840000 in words is "one billion, three hundred ninety-three million, eight hundred forty thousand".